Composite Area with Rectangles and Triangles

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Objective

I can find the area of composite figures by breaking them into rectangles and triangles.

Part 1 of 4

Warm-up video

Math with Mr. J · 6:03Vetted channel

We don't generate video — this one is by Math with Mr. J on YouTube. The practice questions and exit ticket below were drafted by AI for this objective, and every question is editable in the teacher guide.

Part 2 of 4

Key concepts

3 concepts

  1. 1

    To find the area of a composite figure, separate the figure into simpler shapes like rectangles and triangles.

  2. 2

    The formula for the area of a triangle is base x height ÷ 2, and the formula for the area of a rectangle is length x width.

  3. 3

    After finding the area of each individual shape, add the areas together to find the total area of the composite figure.

Part 3 of 4

Practice

9 questions

1

Explain how to find the area of a composite figure made of rectangles and triangles.

2

A composite figure is made of a rectangle and a right triangle. The rectangle has a length of 10 cm and a width of 6 cm. The triangle's base is 6 cm and its height is 4 cm. What is the total area of the composite figure?

Part 4 of 4

Exit ticket

Quick comprehension check

A composite figure is made of a rectangle and a right triangle. The rectangle has a length of 8 inches and a width of 5 inches. The triangle's base is 8 inches, and its height is 3 inches. What is the total area of the composite figure?

Sample answer included in the free materials

Get the materials

Teacher guide, student handout, and slides — free, in Google Docs format

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